Concept explainers
a.
To evaluate: The equation p(0,T,X) when stock selling at S$ , T- time to maturity and exercise price X.
Introduction:
European option: This option can be exercised only on the date of maturity of the option. In simple words, it can be exercised only at a single pre-defined point of time.
b.
To evaluate: The equation P(0,T,X) when stock selling at S$ , T- time to maturity and exercise price X.
Introduction:
American option: It is one of the options contracts done where the holders are allowed to exercise the option rights at any period. It may include the expiration day also.
c.
To evaluate: The equation p(S,T,0) when stock selling at S$ , T- time to maturity and exercise price X.
Introduction:
European option: This option can be exercised only on the date of maturity of the option. In simple words, it can be exercised only at a single pre-defined point of time.
d.
To evaluate: The equation P(S,T,0) when stock selling at S$ , T- time to maturity and exercise price X.
Introduction:
American option: It is one of the options contracts done where the holders are allowed to exercise the option rights at any period. It may include the expiration day also.
e.
To evaluate: The possibility of American puts being exercised early in case (b).
Introduction:
American option: It is one of the options contracts done where the holders are allowed to exercise the option rights at any period. It may include the expiration day also.
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- Consider a financial market consisting of a bank account So(t) and a stock Sā (t) modelled on a probability space (, F, P) with the time indices t = 0, 1, 2, ..., T. Give conditions under which a market is arbitrage-free. Explain what it means to say that a market is complete. Give conditions under which an arbitrage-free market is complete.arrow_forwardSuppose that in a two-period Arrow-Debreu economy with three states, the state probabilities are Tā = 0.1, 7ā = 0.55, 73=0.35 and the state prices are 9ā = 0.2, 9ā=0.5, 93 = 0.8 for states 1, 2, and 3 respectively. Assume that an asset has the state-contingent dividend given in the following table, and the observed price of the asset is 4.1. State-contingent dividend State 1 State 2 State 3 Asset's dividend 5 3 2 According to information above, which one of the following statements regarding arbitrage opportunities is correct? O A. In this case, arbitrage opportunities do not exist. O B. In this case, arbitrage opportunities exist because the asset is over-priced. O c. In this case, arbitrage opportunities exist because the asset is under-priced. O D. Due to insufficient information, it is inconclusive whether arbitrage opportunities exist or not.arrow_forwardConsider a financial market consisting of a bank account So(t) and a stock Sā (t) modelled on a probability space (2, F, P) with the time indices t = 0, 1, 2, ..., T. consider a one period financial market model with T = 1, S = {wā, Wā}, F is the collection of all events and P is a probability measure such that P({wā}) > 0, P({ā}) > 0. Assume that So(0) = 1, Sā (0) = d> 0 and So(1,ā)= (1+r) So(1, ā) = Sā(1, ā) = Sā (1, ā) = where 0 0 is the interest rate. Question: dā, dā, a) Write the payoff of the European call option with strike price K. b) Assume d = 5, r = 0.2, dā = 3, dā = 8, K = 7. Find the price of the option. c) Find the replicating strategy for the option.arrow_forward
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